Remote Lean 4 Formal Methods Researcher (Contract)

Alignerr Corp.; Boston (MA); Remote; USD 83,000 - 152,000; Part time

Job summary

Alignerr is seeking Applied Formal Methods Researchers to translate rigorous human mathematics into Lean 4 proofs, pushing the boundaries of automated reasoning. This fully remote, hourly contract role offers flexible hours (10–40 hours/week) and a chance to work at the intersection of mathematics and AI research.

You will translate informal proofs into machine-verifiable formalizations, identify gaps, and collaborate on strategies for formal verification while producing readable proof scripts

Qualifications

• Hold a Master’s degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete mathematics.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean strongly preferred.
• Genuinely enthusiastic about formal verification, proof assistants, and the trajectory of mechanized mathematics.
• Able to translate dense, informal arguments into clean, precise formal proofs with minimal ambiguity.

Responsibilities

• Translate informal mathematical proofs into clean, structured, machine-verifiable formalizations in Lean 4
• Identify gaps, hidden assumptions, and formalizable sub-structures within complex mathematical arguments
• Construct Lean proofs that probe and expose the current limits of automated proof assistants
• Collaborate with researchers to design and refine formal verification strategies and pipelines
• Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
• Advise on proof decomposition, lemma selection, and structuring techniques for formal models
• Investigate where and why automated provers break down — and document those findings rigorously
• Formalize classical results and compare machine-verifiable structures against established textbook arguments

Skills

Lean experience

Proof writing

Mathematical reasoning

Formal methods

Education

Master’s degree or higher

Tools

Lean 4

Lean 3

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking Applied Formal Methods Researchers to translate rigorous human mathematics into Lean 4 proofs, pushing the boundaries of automated reasoning. This fully remote, hourly contract role offers flexible hours (10–40 hours/week) and a chance to work at the intersection of mathematics and AI research.

You will translate informal proofs into machine-verifiable formalizations, identify gaps, and collaborate on strategies for formal verification while producing readable proof scripts